Answer:
Third option: x=0 and x=16
Step-by-step explanation:

Isolating √(2x+4): Addind √x both sides of the equation:

Squaring both sides of the equation:

Simplifying on the left side, and applying on the right side the formula:


Isolating the term with √x on the right side of the equation: Subtracting 4 and x from both sides of the equation:

Squaring both sides of the equation:

This is a quadratic equation. Equaling to zero: Subtract 16x from both sides of the equation:

Factoring: Common factor x:
x (x-16)=0
Two solutions:
1) x=0
2) x-16=0
Solving for x: Adding 16 both sides of the equation:
x-16+16=0+16
x=16
Let's prove the solutions in the orignal equation:
1) x=0:

x=0 is a solution
2) x=16

x=16 is a solution
Then the solutions are x=0 and x=16
Answer:
12.5lb
Step-by-step explanation:
5lbs+6lb=11lb
11oz+12oz=1.5lbs
11lb+1.5lb=12.5
2/3 / 1/6
When dividing by a fraction, flip the second fraction over and change divide to multiply:
2/3 x 6/1 = (2 x6) / (3 x 1) = 12/3 = 4
The answer is 4
Answer: 2.28%
Step-by-step explanation:
μ = 71.8
σ = 3.4
X < 65
P(X < 65) = P (Z < 65 - 71.8/3.4) = P (Z < -2)
According to the table for the normal distribution attached, it will give us
P (z < Z < 0), this way, to find the P(Z < z), we need to do 0.5 - P:
0.5 - P(-2 < Z < 0) = 0.5 - 0.4772 = 0.0228
In percentage: 0.0228*100 = 2.28%
<span>6y-5=-3(2y+1)
6y - 5 = -6y - 3
12y = -3 + 5
12y = 2
y = 2/12
y = 1/6</span>